可再生能源的随机性与波动性给新型电力系统的频率稳定性带来极大挑战。因此，频率稳定性评估对系统的安全运行具有重要意义。当前由于缺乏准确高效的概率频率稳定性评估方法，且传统多项式混沌展开方法存在诸多缺陷，因此提出了一种基于广义多项式混沌展开概率频率稳定性评估方法。该方法基于广义多项式混沌展开，因而适用于服从任意分布的随机变量，同时采用拉丁超立方采样提高样本点的采样效率。此外，通过Cholesky分解使得所提方法能够处理存在相关性的随机变量。同时，引入双曲线截断缓解了传统多项式混沌展开方法存在的维数灾问题。采用IEEE 39节点系统以及IEEE 68节点系统进行算例分析，并与其他方法结果进行对比，验证了所提方法的高效性与准确性。

The intermittence and fluctuation of renewable energy generation pose a huge threat to the frequency stability of modern power system. Thus, the assessment of frequency stability is of great significance to the safety operation of power system. Due to the lack of accurate and efficient probabilistic frequency stability assessment methods and the disadvantages of traditional polynomial chaos expansion methods, this paper proposes a probabilistic frequency stability assessment method based on generalized polynomial chaos expansion. Based on generalized polynomial chaos expansion, the proposed method is suitable for random variables following arbitrary distributions. Moreover, Latin hypercube sampling is applied to improve the sampling efficiency. In addition, the utilization of Cholesky decomposition enables the proposed method to handle correlated random variables. Furthermore, hyperbolic truncation is adopted to alleviate the curse of dimensionality in the traditional polynomial chaos expansion methods. The etficiency and accuracy of the proposed method are verified in the IEEE-39 bus and IEEE-68 bus systems compared with other methods.